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381997747872 = 25331337919183
BaseRepresentation
bin1011000111100001101…
…01110000111010100000
31100112000002011012122000
411203300311300322200
522224312410412442
6451253133244000
736412155165636
oct5436065607240
91315002135560
10381997747872
11138005851984
126204a333600
132a039acc950
14146bb34b356
159e0b247d4c
hex58f0d70ea0

381997747872 has 192 divisors, whose sum is σ = 1232294837760. Its totient is φ = 114360947712.

The previous prime is 381997747871. The next prime is 381997747889. The reversal of 381997747872 is 278747799183.

381997747872 is a `hidden beast` number, since 3 + 8 + 19 + 9 + 77 + 478 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 381997747872.

It is not an unprimeable number, because it can be changed into a prime (381997747871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44008 + ... + 875175.

It is an arithmetic number, because the mean of its divisors is an integer number (6418202280).

Almost surely, 2381997747872 is an apocalyptic number.

381997747872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381997747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616147418880).

381997747872 is an abundant number, since it is smaller than the sum of its proper divisors (850297089888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381997747872 is a wasteful number, since it uses less digits than its factorization.

381997747872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919252 (or 919238 counting only the distinct ones).

The product of its digits is 298722816, while the sum is 72.

The spelling of 381997747872 in words is "three hundred eighty-one billion, nine hundred ninety-seven million, seven hundred forty-seven thousand, eight hundred seventy-two".